Mathematics College

MAFS.912. G-GMD. 1.3
A regular pyramid has a square base. The perimeter of the base is 36
inches and the height of the pyramid is 15 inches. What is the volume of
the pyramid in cubic inches?
A. 180
B. 405
C. 540
D. 1215

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

The volume of the square pyramid is 405 cubic inches.

The correct answer is option (B).

What is the volume of the square pyramid?

V = 1/3 × base area × h,

where h is the height of the pyramid.

What is the perimeter of square?

P = 4 × a

where, 'a' represents the side of the square

For given example,

Let 'a' be the side length of the square base.

We have been given the perimeter of the square base is 36.

⇒ P = 36

⇒ 4 × a = 36

⇒ a = 9

So, the length of the side of the square base is 9 in.

Using the formula of the volume of the pyramid,

⇒ V = (1/3) × base area × h

⇒ V = (1/3) × a² × h

⇒ V = (1/3) × (9)² × 15

⇒ V = 27 × 15

⇒ V = 405 cubic inches

Therefore, the volume of the square pyramid is 405 cubic inches.

The correct answer is option (B).

Learn more about the volume of the square pyramid here:

https://brainly.com/question/23323560

#SPJ2

Related Questions

If 2x⁴ + 2y⁴ + 2z⁴ = 144, what is the mean of x⁴, y⁴ and z⁴​

Answers

Answer: 24

Step-by-step explanation:

Given

[tex]2x^4+2y^4+2z^4=144[/tex]

dividing whole equation by 2, we get

[tex]\Rightarrow x^4+y^4+z^4=72[/tex]

Mean is given by the sum of the value of entities divided by the total no of entities

[tex]\Rightarrow \text{Mean}=\dfrac{x^4+y^4+z^4}{3}\\\\\Rightarrow \text{Mean}=\dfrac{72}{3}\\\\\Rightarrow \text{Mean}=24[/tex]

A school librarian ordered new books

Answers

Answer:

35

Step-by-step explanation:

Answer:

8232

Step-by-step explanation:

Name the solid that is formed from the net.
a. Square Pyramid
b. Triangular Pyramid
c. Triangular Prism
d. Cylinder
e. Rectangular Prism
f. Cone
g. Cube

Answers

rectangular prism? ..

determine which of the following pairs of fractions are equivalent.
1)4/5 and 16/20
no links or photo​

Answers

You only wrote one option, but luckily, those two fractions ARE equivalent!

We know that because if you multiply the denominator AND numerator by 4, you get 16/20.

Answer:

explanation

Step-by-step explanation:

just multiply the numerator and the detonator by 4 and u get 16/20

Find the value of x. Round to the nearest tenth

Answers

9514 1404 393

Answer:

  42.3

Step-by-step explanation:

The appropriate trig ratio is ...

  Tan = Opposite/Adjacent

  tan(78°) = x/9

  x = 9×tan(78°)

  x ≈ 42.3

Can someone help me pls

Answers

Answer:

57°

Step-by-step explanation:

180-56=114

114÷2=57

Answer:

57°

Step-by-step explanation:

AO and BO are both the radius of the circle, so they are equal.  Since it makes an iscosoles triangle, angles A and B are equal.

180-66=114

114/2=57

plz help will give crown

Answers

Answer:

C. [tex] a \leqslant 4[/tex]

Step-by-step explanation:

[tex]a \leqslant 4[/tex]

Option C is the correct answer.

Which angle is an adjacent interior angle?

Answers

4 is exterior and 3 is adherent interior angle to angle 4. Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In this case common vertex is N. Common side is LN. Good luck.

A school social group has 30 seniors, 38 juniors, 24 sophomores, and 18 freshmen. They need to choose a president, an assistant, and an accountant. The president must be a senior and the assistant must not be a freshman. How many different ways can they pick the officers?

Answers

Step-by-step explanation:

by choosing from the sophomores or by choosing from the freshmen

Answer:

303600

Step-by-step explanation:

There are:

30 seniors, 38 juniors, 24 sophomores, and 18 freshmen

The president must be a senior.

Number of ways = 30

The assistant must not be a freshman.

Number of ways = 30 + 38 + 24 = 92

The accountant can be anyone.

Number of ways = sum of all = 110

Number of ways to pick officers:

30*92*110 = 303600

it took bryan one hour to ride 6 1/4 miles on his bike. how far will bryan be able to ride in 3 1/2 hours?
A 21 7/8
B 9 3/4
C 5 1/2
D 9 1/4

Answers

The answer is a. Hope this helps

A bowl contains 10 red balls and 10 blue balls.A woman selects balls at random without looking at them. How many balls must she select to be sure of having at least three balls of the same color?

Answers

Answer:

5 balls

Step-by-step explanation:

Sorry if it's wrong.

A yard contains 16 ounces. 9 ounces is what fraction of a pound?

Answers

9514 1404 393

Answer:

  9/16

Step-by-step explanation:

We presume an error in the problem statement. A yard is a measure of distance, not weight.

A pound contains 16 ounces. Then 9 ounces is 9/16 of a pound.

__

As a decimal fraction, that is 0.5625 lb.

if the submarine travels 518 kilometers in 14 hours, how many kilometers does the submarine travel in 1 hour

Answers

Answer:

37 km

Step-by-step explanation:

Answer:

37kph

Step-by-step explanation:

518/14=37

What is the distance between the two points?
(0.5, 1.3), (-0.4, -1.2)

Answers

Answer:

2.66 (rounded to the nearest hundredth)

For the polynomial x^3-7x^2+12x-6, 1 is a zero. Express g(x) as a product of linear factors.

Answers

Answer:

(x–1)(x²–6x+6)

Explanation:

Given that 1 is a zero, we can use synthetic division to compute the factor.

If 1 is a zero (x–1) is a factor.

Here is the process:

| 1 | 1 -7 12 -6

↓ +(1) +(-6) +(6)

↓ ↓ ↓

1 -6 6 0

→ [1]x² + [-6]x + [6]1 + [0]/x–1 =

x² – 6x + 6.

Therefore the factors are (x–1)(x²–6x+6)

Solve the system of equations by substitution.
5x + y =18
Y=4x

Answers

Answer:

x =2 y= 8

Step-by-step explanation:

need the GCF of the following term​

Answers

Answer:

x²y²

Step-by-step explanation:

Refer to image below:

In order to take good notes while reading, you must ask yourself ________________. a. “What is the main idea?” c. “What have I learned?” b. “What are the supporting details?” d. all of the above Please select the best answer from the choices provided A B C D

Answers

Answer: D do all of the above and you will get good grades

Step-by-step explanation:


The diagonal length of a TV is 32 inches, and the height is 17 inches. How wide is the TV?
Pls

Answers

Answer:

7√15

Step-by-step explanation:

32²-17²=735

√735

What is the range of F?

Answers

Answer:

A should be right :)

Answer:

I think D as that's the highest point

Step-by-step explanation:

I think D as that's the highest point

If the sum of six consecutive odd integers is 252, what is the smallest of the six integers?

Answers

Answer:

37  smallest number

Step-by-step explanation:

If your integer is x

The next 5 odd integers are:

x+2

x+4

x+6

x+8

x+10

x+x+2+x+4+x+6+x+8+x+10=252

6x+30=252

6x=252-30

6x=222

x=222/6

x=37

What number goes on top?

Answers

Answer:

33

Step-by-step explanation:

16+17 math that is why

Help me it’s really important

Answers

Answer:

Step-by-step explanation:

Quadratic equation has been given as,

[tex]y=-x^{2} +6x+4[/tex]

Converting this equation into vertex form,

[tex]y=-(x^{2}-6x)+4[/tex]

[tex]y=-[x^{2}-2(3x)+9-9]+4[/tex]

[tex]y=-[x^{2}-2(3x)+3^2]+4+3^2[/tex]

[tex]y=-(x-3)^2+4+9[/tex]

[tex]y=-(x-3)^2+13[/tex]

By comparing this equation with the vertex form of a quadratic equation,

y = (x - h)² + k

Here, (h, k) is the vertex of the parabola.

Vertex of the parabola → x = 3, y = 13

Axis of symmetry → x = 3

The area of a trapezoid is 144cm2. The height is 16cm and the length of one of the parallel sides is 6cm. Find the length of the second parallel side. Express your answer as a simplified fraction or a decimal rounded to two places.

Answers

Step-by-step explanation:

hope this will help you have a great day!

Answer:

0.12

Step-by-step explanation:

I don't know how to explain it to you, but I hope you'll understand from the picture. hope it helps.

The question is attached in the photo PLEASE HELP ASAP!!!!!!
THIS IS DUE TODAY!!!!!!!!!!!!

*** I will make you brainiest if the answer is correct ***

Answers

so, im not sure if this is correct, but you just have to multiply 64 by 1.50, since it says that each *box* is 4 feet, so I think your answer would be 73.6. sorry if you get this wrong

joption
[tex]x \sqrt{?} [/tex]
​

Answers

Answer:

???

Step-by-step explanation:

What is 3x2 [-2 3 0. -4 2 6. 6 -5 6.]

Answers

Answer:

The correct answer is choice B. Have a good day!

A market sells coffee from Brazil for $3 per pound and coffee from Colombia for $4 per pound. How
many pounds of each should be used in order to sell the blend of 100 pounds for $3.50 per pound?

Answers

Answer:

It would be 28 brazilian and 4 Colombian

Step-by-step explanation:

I multiplied alot and please forgive me if this is wrong

21. Sandra is 4 feet tall. Pablo is 10% taller than Sandra, and Michaela is 8% taller than Pablo. a. Explain how to find Michaela's height with the given information.​

Answers

Answer:

Step-by-step explanation:

Find 10% of Sandra’s height then find 8% of Pablo’s height, then combine. 4 feet 9 inches.

solve from missing angle​

Answers

Are there any answer choices? If not, when i worked it out i got ≈22.8
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